Solve by factoring 3x2 equals -9?

Answer 1

3x2 = -9 (divide both sides by 3) x2 = -3 (x would have to be the square root of -3)

x = ±√-3

x = ±√3i

Since you want to solve by factoring:

x2 = -3 add 3 to both sides

x2 + 3 = 0

x2 - 3i2 = 0

x2 - (√3i)2 = 0 Factor:

(x - √3i)(x + √3i) = 0

x - √3i = 0 or x + √3i = 0

x = √3i or x = -√3i